Interfacial instability in a time-periodic rotating Hele-Shaw Cell

Autor: Bouchgl J., Aniss S., Souhar M., Hifdi A.
Jazyk: English<br />French
Rok vydání: 2014
Předmět:
Zdroj: MATEC Web of Conferences, Vol 16, p 09004 (2014)
Druh dokumentu: article
ISSN: 2261-236X
DOI: 10.1051/matecconf/20141609004
Popis: The effect of time-periodic angular velocity on the interfacial instability of two immiscible, viscous fluids of different densities and confined in an annular Hele-Shaw cell is investigated. An inviscid linear stability analysis of the viscous and time dependent basic flow leads to a periodic Mathieu oscillator describing the evolution of the interfacial amplitude. We show that the relevant parameters that control the interface are the Bond number, viscosity ratio, Atwood number and the frequency number.
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